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Finding the Fourth Proportional to 25,804.16, 38,696.95 and 8,932.58

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Solution

The fourth proportional to 25,804.16, 38,696.95 and 8,932.58 is: 13,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804.16 : 38,696.95 = 8,932.58 : x
  2. Step 2: Convert to fraction form
    25,804.16/38,696.95 = 8,932.58/x
  3. Step 3: Cross multiply
    25,804.16x = 38,696.95 × 8,932.58
  4. Step 4: Simplify right side
    25,804.16x = 345,663,782.10
  5. Step 5: Solve for x
    x = 345,663,782.10/25,804.16
  6. Step 6: Final answer
    x = 13,395.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.